Atkin-Lehner |
2+ 3+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65424b |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58240 |
Modular degree for the optimal curve |
Δ |
-104306987952 = -1 · 24 · 314 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 5 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1013,9022] |
[a1,a2,a3,a4,a6] |
Generators |
[-23792:220887:4096] |
Generators of the group modulo torsion |
j |
7177997023232/6519186747 |
j-invariant |
L |
7.3053458291486 |
L(r)(E,1)/r! |
Ω |
0.69231374585466 |
Real period |
R |
5.2760369652929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32712b1 |
Quadratic twists by: -4 |